Probabilistic Single-Valued Neutrosophic Set for A Multidimensional Evaluation of College Students’ Mental Health and Academic Success

Abstract

Since psychological well-being is closely linked to academic achievement and long-term 
success, college students' mental health has emerged as a crucial issue in higher education. Using 
six major criteria psychological well-being, academic performance, social interaction, lifestyle and 
health habits, coping and resilience skills, and institutional support, this study offers a 
multifaceted assessment framework that looks at the relationship between mental health and 
academic achievement. To address these characteristics, ten different forms of intervention were 
suggested, including peer support groups, counseling services, stress management seminars, 
physical fitness programs, digital mental health tools, and inclusive campus activities. This study 
uses the neutrosophic set to solve the uncertainty issue. The framework emphasizes the need for 
an integrated approach that considers institutional, societal, and personal elements to evaluate 
mental health and academic achievement. This study offers insights into how colleges may create 
comprehensive plans to enhance academic performance and student well-being by utilizing a 
structured evaluation. 

DOI: 10.5281/zenodo.16906272